On a new numerical analysis of the Hall effect on MHD flow and heat transfer over an unsteady stretching permeable surface in the presence of thermal radiation and heat source/sink

Stanford Shateyi,Gerald T Marewo

doi:10.1186/s13661-014-0170-y

Stanford Shateyi, Gerald T Marewo

Open Access

https://doi.org/10.1186/s13661-014-0170-y

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Abstract

This paper employs a computational iterative approach known as the spectral local linearization method (SLLM) to analyze the Hall effect on MHD flow and heat transfer over an unsteady stretching permeable surface in the presence of thermal radiation and heat source/sink. To demonstrate the reliability of our proposed method, we made comparison with the Matlab bvp4c routine technique, and an excellent agreement was observed. The governing partial differential equations are transformed into a system of ordinary differential equations by using suitable similarity transformations. The results are obtained for velocity, temperature, skin friction and the Nusselt number.MSC: 65PXX, 76-XX.

Highlights

Theoretical studies of magnetohydrodynamic flow and heat transfer over stretching surfaces have received great attention by virtue of their numerous applications in the fields of metallurgy and chemical engineering
4 Results and discussion The numerical results iteratively generated by the spectral local linearization method (SLLM) for the main parameters that have significant effects on the flow properties are presented
All the SLLM results presented in this work were obtained using N = collocation points, and we are glad to highlight that convergence was achieved in as few as six iterations

Summary

Introduction

Theoretical studies of magnetohydrodynamic flow and heat transfer over stretching surfaces have received great attention by virtue of their numerous applications in the fields of metallurgy and chemical engineering. Such applications include geothermal reservoirs, wire and fiber coating, food stuff processing, reactor fluidization, enhanced oil recovery, packed bed catalytic reactors and cooling of nuclear reactors. In an ionized gas where the density is low and/or the magnetic field is very strong, the conductivity normal to the magnetic field is reduced due to the free spiraling of electrons and ions about the magnetic lines of force before suffering collisions, and a current is induced in a direction normal to both electric and magnetic fields. Hall currents are of great importance in many astrophysical problems, Hall accelerators, Hall sensors and flows of plasma in MHD power generators

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